In the general population, only 0.3% have colorectal cancer.
(Simply, interpret this as P(Cancer) = 0.003.) The hemoccult test is
used in the detection of colorectal cancer as a cheaper and much
less invasive alternative to colonoscopy. However, it is also much
less accurate. The test is positive 50% of the time if the patient
has the disease, and will be positive 3% of the time if the patient
does not have the disease. What is the probability of a false
negative as a result of this test? Choose the closest answer.
a. 0.952
b. 0.048
c. 0.0299
d. 0.002